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64955946 = 231121719277
BaseRepresentation
bin1111011111001…
…0011000101010
311112020002210210
43313302120222
5113112042241
610240121550
71416054636
oct367623052
9145202723
1064955946
1133736400
12199062b6
13105c3993
1488abdc6
155a81316
hex3df262a

64955946 has 96 divisors (see below), whose sum is σ = 159727680. Its totient is φ = 17487360.

The previous prime is 64955939. The next prime is 64955959.

64955946 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64955895 and 64955904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234360 + ... + 234636.

It is an arithmetic number, because the mean of its divisors is an integer number (1663830).

Almost surely, 264955946 is an apocalyptic number.

64955946 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64955946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79863840).

64955946 is an abundant number, since it is smaller than the sum of its proper divisors (94771734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64955946 is a wasteful number, since it uses less digits than its factorization.

64955946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 64955946 is about 8059.5251721178. The cubic root of 64955946 is about 401.9817199183.

The spelling of 64955946 in words is "sixty-four million, nine hundred fifty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 121 187 209 242 277 323 363 374 418 554 561 627 646 726 831 969 1122 1254 1662 1938 2057 2299 3047 3553 4114 4598 4709 5263 6094 6171 6897 7106 9141 9418 10526 10659 12342 13794 14127 15789 18282 21318 28254 31578 33517 39083 51799 57893 67034 78166 89471 100551 103598 115786 117249 155397 173679 178942 201102 234498 268413 310794 347358 536826 569789 636823 984181 1139578 1273646 1709367 1910469 1968362 2952543 3418734 3820938 5905086 10825991 21651982 32477973 64955946